There are infinitely many numbers, so there is no number bigger than all the others (infinity isn't a number)

Thanks MrGenius for anticipating my answer (I recognize that anybody is allowed to give cookies to any one...)...

This is exact. Your marks :

You deserved a chocolate mufin for such a good report card !

P.S.: If you don't like chocolate or prefer another flavor, tell me, I'll find it.

Correct again.

20/20

for the second exercise.

Ah, and I almost forgot the brownie

And excuse me, I don't understand why my reply was posted three times instead of just once...

Thanks CPhill, your answer is exact.

You got

20/20

for the first exercise, plus a brownie:

You'll get some more if you find the answer for the two other exercises too.

Thanks CPhill, your answer is exact.

You got

20/20

for the first exercise, plus a brownie:

You'll get some more if you find the answer for the two other exercises too.

Thanks CPhill, your answer is exact.

You got

20/20

for the first exercise, plus a brownie:

You'll get some more if you find the answer for the two other exercises too.

Log is the abbreviation for logarithm.

The logarithm is an operator that is used to find at which power you have to raise a number to get another.

In other words,

$\forall n\in \mathbb{R}_{+}^{*},\forall b\in \mathbb{R}_{+}^{*}, \\\text{If } \log_b(n)=p\text{, then }b^p=n.$

(The number b is called the base of the logarithm.)

Examples:

1. log₂(16)=4 because 2⁴=16
2. log₁₀(100)=2 because 10²=100
3. log_e(e⁸) is 8*.

*The number e is an irrationnal number called Euler's number (e≈2.71828182845904523536028747135266249775724709369995...). The logarithm of a number n to base e is also called natural logarithm of n and written ln(n).